test: temporarily remove e2e dependency on deploy-staging for branch testing

- Allow e2e-tests to run independently on feat/add-e2e-ci branch
- Will be reverted before merge to main

Author: WilsonNet

.github/workflows/deploy-staging.yaml

@@ -48,7 +48,6 @@ jobs:
   e2e-tests:
     runs-on: ubuntu-latest
     timeout-minutes: 10
-    needs: deploy-staging
     steps:
       - uses: actions/checkout@v4